A major challenge in the field of spatial reasoning is the translation of decades of accumulated research findings from the domain of psychology and mathematics education into the school mathematics curriculum. This study aimed to operationalise a heuristic termed visualise-predict-check (VPC) for the teaching of spatial visualisation and explore…

A 7-month mathematics proficiency program was conducted in a primary Australian Indigenous community school. This paper focuses on outlining the specific methodologies employed to explore how students' mathematical proficiency changed throughout the implementation of the program in Years 2 to 4 (~ 7 to 9 years old). A mixed methods research design…

This paper presents an Early Mathematical Patterning Assessment (EMPA) tool that provides early childhood educators with a valuable opportunity to identify young children's mathematical thinking and patterning skills through a series of hands-on and drawing tasks. EMPA was administered through one-to-one assessment interviews to children aged 4 to…

This paper is structured in two sections. The first examines views of mathematical abstraction in two broad categories: empiricist and dialectical accounts. It documents the difficulties involved in and explores the potentialities of both accounts. Then it outlines a recent model which takes a dialectical materialist approach to abstraction in…

One of the missions of education is to prepare children for complex tasks that occur in their cultural environment. By means of abstracting, the effects of this complexity can be reduced. Recent research and theoretical development show us that young children already seem to be able to think abstractly. The acknowledgement of this potential in…